A revised augmented Cuntz semigroup
Keyword(s):
Rank One
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We revise the construction of the augmented Cuntz semigroup functor used by the first author to classify inductive limits of $1$-dimensional noncommutative CW complexes. The original construction has good functorial properties when restricted to the class of C*-algebras of stable rank one. The construction proposed here has good properties for all C*-algebras: we show that the augmented Cuntz semigroup is a stable, continuous, split exact functor, from the category of C*-algebras to the category of Cu-semigroups.
1999 ◽
Vol 78
(6)
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pp. 591-608
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2019 ◽
Vol 377
(1)
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pp. 37-76
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